use the graph of the function to determine the indicated limit, if it exists. lim f(x) x→ - 5 select the…

Explanation:

Step1: Analyze left - hand limit

As $x$ approaches $- 5$ from the left side ($x\to - 5^{-}$), the function values $f(x)$ approach $-\infty$.

Step2: Analyze right - hand limit

As $x$ approaches $- 5$ from the right side ($x\to - 5^{+}$), the function values $f(x)$ approach $\infty$.

Step3: Determine overall limit

Since the left - hand limit and the right - hand limit are not equal, the limit $\lim_{x\to - 5}f(x)$ does not exist and is neither $\infty$ nor $-\infty$.

Answer:

B. The limit does not exist and is neither $\infty$ nor $-\infty$.